# MathPro Classification Scheme

• Algebra
• Age problems
- cryptarithm
- digits
- fathers and sons
- primes
- reciprocals of squares of ages
• Algorithms
• Ancestors
• Calculators
• Calendar problems
- calendar cycles
- day of week
- days in month
- digit problems
- Friday the 13th
- nonstandard calendars
- significant dates
• Clock problems
- angle of hands
- geometry
- hands
- meters
- water clocks
• Complex numbers
- geometry of complex numbers
- identities
- inequalities
• Continued fractions
- arithmetic progressions
- peridoic
- periodic
- solution of equations
• Determinants
- Bernoulli numbers
- combinatorial properties
- combinatorics
- factorials
- fractions
- gamma function
- Hankel matrices
- integrals
- polynomials
- symmetric group
• Discriminants
• Elections
• Exponential equations
• Factorization
- degree 2
- degree 4
- degree 5
- degree 8
- degree n
- irreducible polynomials
• Fair division
• Finite differences
• Finite products
• Finite sums
- binomial coefficients
- factorials
- fractions
- harmonic series
- logarithms
- polynomials
• Floor function
- degree 3
- finite sums
- identities
- inequalities
- linear
- solution of equations
• Functional equations
- 1 parameter
- 2 parameters
- derivatives
• Functions
• Gaussian polynomials
• Geometry of zeroes
- complex numbers
- cubic
- cubics
- degree n
- derivatives
- determinants
• Graphs
- degree 4
- equations
- exponentials
- parabolas
• Identities
- a+b+c=0
- finite sums
- multinomial coefficients
- Pascal's triangle
- powers
• Inequalities
- absolute value
- binomial coefficients
- degree 2
- degree 3
- degree 4
- degree 6
- equivalence
- exponentials
- finite products
- finite sums
- fractions
- harmonic series
- infinite sums
- logarithms
- polynomials
- positive reals
- powers
• Interest problems
• Iterated functions
• Logarithms
• Maxima and minima
- combinations
- constrained extrema
- exponentials
- finite products
- finite sums
- fractions
- graphs
- permutations
- polynomials
• Means
- arithmetic mean
- geometric mean
• Measuring problems
• Money problems
- interchanged digits
- ratios
• Numerical calculation
• Partial fractions
• Partitioned sequences
- Fibonacci numbers
- plus 1
- plus 4
- plus 6
• Periodic sequences
• Polynomial divisibility
- complex numbers
- degree 5
• Polynomials
- Bernstein polynomials
- degree 3
- degree 3n
- factorization
- fixed points
- homogeneous
- integer coefficients
- largest coefficients
- linear independence
- number of terms
- orthogonal polynomials
- positive definite
- properties
- roots and coefficients
- zeroes
- sum of cube roots
- sum of square roots
• Range
• Rate problems
- cars
- drummers
- maxima and minima
- particles
- planes
- records
- rowing
- running
- swimming
- trains
- trips
• Recurrences
- 2 by 2 non-linear difference systems
- degree 3
- difference equations
- find a formula
- fractions
- sequences
• Roots of unity
• Sequences
- find formula
- functions
- inequalities
- odd and even
- rational expressions
• Sets
• Solution of equations
- absolute value
- degree 2
- degree 4
- degree 5
- degree 6
- degree 7
- exponential equations
- fractions
- logarithms
• Sports
- baseball
- billiards
- car racing
- pool
• Spring scale
• Substitution
• Sum of powers
- degree 5
- formulas
- inequalities
- polynomials
- recurrences
- roots
• Systems of equations
- 2 variables
- 3 variables
- 5 variables
- 8 variables
- equations over fields
- logarithms
- n variables
- porisomatic equations
- sum of powers
• Theory of equations
- constraints on roots
- functions of roots
- identities
- location of zeroes
- number of solutions
- rational roots
- real roots
- roots
- systems of equations
• Undetermined coefficients
• Uniform growth
- grazing
- provisions
- snowplows
• Units
• Venn diagrams
• Weights
- balance scales
- beam balance
- innacurate balance
• Word problems
- area
- expressions
- math contests
- passengers
- percentage
- races
- sequences
• Work problems
• Analysis
• Arc length
• Bessel functions
• Bijections
• Borel sets
• Complex variables
- analytic continuation
- analytic function
- analytic functions
- Banach spaces
- bijections
- bounded functions
- conformal mapping
- finite sums
- Fourier series
- harmonic functions
- inequalities
- maxima and minima
- number theory
- rational functions
• Convergence of sequences
- complex l squared space
- exponentials
- finite sums
- logarithms
- recurrences
• Convergence of series
- convergence criteria
- exponentials
- factorials
- functions
- harmonic series
- inequalities
- logarithms
- partial sums
- polynomials
- powers
- primes
- summability
- tails
• Cosine transform
• Curves
- barycentric coordinates
- curve stitching
- horizontal tangents
- parametric curves
- second derivatives
- sketching
- space curves
- tangent-normals
- tangents
- transformations
• Derivatives
- chain rule
- convex functions
- decimal representation
- finite sums
- functions
- Gateaux and Frechet derivatives
- higher derivatives
- inequalities
- maxima and minima
- monotone functions
- one-sided derivatives
- roots
• Diffeomorphisms
• Differential equations
- domain of definition
- initial value problems
- order 2
- order 3
- order n
- Riccati equation
- separable equations
• Folium of Descartes
• Fourier series
• Fractional parts
• Functions
- 3 variables
- analytic
- composition of functions
- continuous functions
- convex functions
- differentiable functions
- entire functions
- graphs
- infinite series
- linear
- meromorphic functions
- monotone functions
- periodic
- polynomials
- real-valued functions
- uniform continuity
• Gamma function
• Hypergeometric functions
- differential-recurrence relations
- evaluations
- gamma function
- positive integers
- transformations
• Inequalities
- centroids
- infinite sums
- point moving in a square
• Infinite products
• Infinite sums
- binomial coefficients
- doubly infinite series
- exponentials
- factorials
- floor function
- fractions
- integrals
- multinomial coefficients
- nearest neighbor
• Integral inequalities
- definite integrals
- derivatives
- improper integrals
- improper Riemann integrals
• Integrals
- area
- binomial coefficients
- Claussen's integral
- differentiability
- double integrals
- evaluations
- finite products
- finite sums
- fractional integrals
- functions
- gamma function
- improper double integrals
- improper integrals
- maxima and minima
- multiple integrals
- principal value
- triple integrals
• Laplace transforms
• Legendre polynomials
• Limits
- binomial coefficients
- exponentials
- factorials
- finite products
- finite sums
- floor function
- functions
- inequalities
- infinite products
- infinite sums
- iterated functions
- logarithms
- nearest integer
- normed spaces
- number theory
- recurrences
- sequences
- sum of powers
- sum of products
- trigonometry
• Location of zeroes
- complex variables
- determinants
- exponential equations
- exponentials
- orthogonal polynomials
- polynomials
• Maclaurin series
• Maxima and minima
- geometry
- polynomials
- trigonometric series
• Measure theory
- almost everywhere linear functions
- arcs
- Borel sets
- Cantor-Lebesgue function
- computational complexity
- harmonic analysis
- homeomorphisms
- integrals
- Lebesgue integrals
- measurable functions
- polynomials
- residual subsets
- unit circle
• Partial derivatives
• Power series
- coefficients
- factorials
- integrals
• Properties of functions
• Pursuit problems
- circles
- pigs
- rabbits
- ships
• Rate problems
• Riemann zeta function
- inequalities
- infinite sums
- limits
• Sequences
- density
- infinite matrices
- infinite series
- iterated functions
- limit point
- limits
- logarithmic convexity
- pairs of sequences
- power series
• Systems of differential equations
- 2x2 homogeneous systems
- 2x2 non-linear systems of ODE's
- 2x2 systems of non-linear ordinary differential equations
- 2x2 systems of ordinary differential equations
- 3x3
- degree 2
- nxn
• Theta series
• Applied Mathematics
• Airplanes
• Astronomy
• Computer science
• Electrical networks
• Physics
- buoyancy
- cogwheels
- equations of motion
- knots
- masses
- moving particles
- particles
- pendulums
- rods
- rolling particles
- rotation
• Combinatorics
• Arrays
- array operations
- Bingo
- hexagons
- nim
- paths
- positive and negative
- rank
- symbols in squares
• Ballots
• Card shuffling
• Coloring problems
- circles
- intervals
- points in a square
- points in plane
- points in space
- points on a circle
- prisms
- triangles
• Compositions
• Computational complexity
• Configurations
- collections of objects
- collinear points
- committees
- couples
- docking
- groups of people
- Latin rectangles
- Latin squares
- leagues
- maxima and minima
- v-k-lambda
• Counting problems
- average value
- billiards
- cards
- combinations
- inversions
- parenthesization
- paths
- Scrabble
- sequences
- stacking of balls
- subsets
- targets
• Dice problems
• Digit problems
- binary numbers
- consecutive digits
- distinct digits
- increasing or decreasing
- normal integers
- page numbers
- partitions
- permutations
- product of digits
• Elevators
• Geometry
- circles
- configurations
- distances
- hexagons
- Hilbert space
- lines in a plane
- n-dimensional geometry
- partitions
- pentagons
- points in plane
- points in space
- polygons
- tetrahedra
- toothpicks
• Graph theory
- arrays
- directed walks
- distance
- Eulerian circuits
- Hamiltonian circuits
- infinite tree
- matchings
- matrices
- networks
- Petersen graph
- planar graphs
- properties
- reconstruction
- subgraphs
- vertex degrees
• Lattice paths
• Lattice points
• Letters and envelopes
• Locks and keys
• Measuring problems
• Money problems
- coin tossing
- maxima and minima
- stamps
• Mutual acquaintances
- 10 people
- 5 people
- 6 people
- circular table
- groups of 4 people
- hand shakes
• Pascal's triangle
• Paths
• Permutations
- cycles
- digits
- fixed points
- products of transpositions
- rises
- sorting
- up-down permutations
- vector products
• Points on circle
• Polygon counting
- equilateral triangles
- parallelograms
- rectangles
- squares
- triangles
• Prisoners
• Seating arrangements
• Sequences
• Series
• Sets of numbers
- closure properties
- counting problems
- odd and even
- Ramsey Theory
- sums
• Sorting
• Substitution codes
• Switches
• Tournaments
- algorithms
- chess tournaments
- incidence matrices
- tennis
• Word formation
- counting problems
- good arrangements
• Cryptarithms
• Alphametics
- animals
- base conversions
- cards
- chemical equations
- chess moves
- Christmas
- colors
- congruences
- constructions
- crossword puzzle
- division
- doubly true
- elements
- equations
- Etruscan
- factorials
- fish
- floor function
- food
- formulas
- German
- Hebrew
- indefinite sums
- Japanese
- measures
- money
- multiplication
- names
- numbers
- phrases
- places
- planets
- Polish
- Pythagorean alphametics
- simultaneous alphametics
- squares
- states
- story problems
- words
• Digimetics
• Encrypted messages
- encrypted date
- geometry
• Integrals
• Multiplication
• Powers
• Prime factorization
• Repeating decimals
• Simultaneous cryptarithms
• Skeletons
- division
- multiplication
- square roots
• Word squares
- squares
• Geometry
• Affine transformations
• Analytic geometry
- area
- centroids
- circles
- conics
- distance
- family of lines
- locus
- maxima and minima
- parametric equations
- polar curves
- symmetry
• Angle measures
- circles
- slope
• Annulus
- area
- covering problems
- rectangles
• Arbelos
• Butterfly problem
• Cake cutting
• Chain of circles
- tangent circles
• Characterizations
- circles
- concurrence
- equilateral triangle
- limiting figures
- semicircles
- star of David
- triangles
• Circles
- angles
- arcs
- area
- chords
- concurrent circles
- mixtilinear triangles
- orthogonal circles
- two circles
• Combinatorial geometry
- circles
- lines in a plane
- regions
- triangulations
• Conics
- conjugates
- constructions
- hexagon
- hyperbolas
- projective geometry
• Constructibility
• Constructions
- angles
- chords
- circles
- conics
- equilateral triangles
- lines
- points
- rulers
- squares
- straightedge only
- triangles
• Convexity
- balls
- buoyancy
- corners
- diameters
- inequalities
- ovals
- points of symmetry
- Steiner symmetrizations
• Covering problems
- covering a square
- covering a triangle
- covering of points
- perimeter
- angle bisectors
- n-dimensional geometry
- parallelograms
- perpendiculars
- ratios
• Differential geometry
• Dissection problems
- circles
- isosceles triangles
- polygons
- rectangles
- rhombuses
- right triangles
- squares
- triangles
• Ellipses
- area
- chords
- inscribed in kite
- inscribed in rhombus
- inscribed in triangle
- maxima and minima
- parabolas
- regions
- tangent ellipses
• Envelopes
• Equilateral triangles
- altitudes
- area
- centroids
- circles
- circumcircle
- concentric triangles
- hexagons
- interior point
- maxima and minima
- orthogonal projection
- reflections
- right triangles
- semicircles
- squares
• Fallacies
• Family of lines
• Grazing goat
• Hexagons
- circles
- closure theorems
- conic sections
- convex hexagons
- equiangular
- equilateral triangles
- opposite sides parallel
• Inequalities
- altitudes
- area
- circumcircle
- medians
- parallelograms
- point in triangle
- points in plane
- polygons
- trapezoids
- triangles
• Isoperimetric inequalities
- area
- polygons
- squares
• Isosceles right triangles
• Lattice points
- area
- center of gravity
- centroids
- collinear points
- discs
- distances
- mappings
- midpoints
- spirals
- taxicab metric
• Lattice polygons
- equilateraltriangles
- lattice polyhedra
- lattice triangles
- regular pentagons
- right triangles
- squares
- triangles
• Lehmus's Theorem
• Limiting figures
- chain of circles and polygons
- circles
- incribed triangles and circles
- polygons
- right triangles
- triangles
• Locus
- angles
- area
- circles
- conics
- ellipses
- equilateral triangles
- hyperbolas
- hyperboloids
- parabolas
- parallel lines
- right triangles
- squares
- triangles
- trigonometry
• Malfatti circles
• Map problems
• Maxima and minima
- area
- circular arcs
- compact subsets of the plane
- corridors
- curves
- excircles
- incircle
- isosceles triangles
- rectangles
- right triangles
- shortest paths
- solid geometry
- triangles
• N-dimensional geometry
- combinatorial geometry
- cubes
- distances
- n-cube
- rectangular parallelepiped
- regular simplex
- simplex
- unit ball
- volume
- width
• Non-Euclidean geometry
• Packing problems
• Paper folding
- circles
- cubes
- equilateral triangles
- octahedron
- regular tetrahedron
- tetrahedrons
• Parabolas
- circles
- derivatives
- normals
- tangents
• Parallelograms
- area
- directly similar triangles
- midpoint property
- right triangles
• Pentagons
• Pigeonhole
- annulus
- circles
- equilateral triangles
- regular hexagons
• Points in plane
• Polygons
- equilateral
- hexagons
- reflex angles
- sum of diagonals
• Projective geometry
- 5th dimension
- cross ratio
- homogeneous coordinates
- photographs
- projective 3-space
- straight lines
- triangles
- area
- centroid
- circles
- circumscribed
- erected figures
- inscribed and circumscribed
- maxima and minima
- perpendicular diagonals
- perpendicular lines
• Rectangles
- circles
- equilateral triangles
- golden rectangle
- inscribed
- triangles
• Regular dodecagons
• Regular heptagons
• Regular hexagons
• Regular octagons
• Regular pentagons
• Regular polygons
- angles
- area
- inequalities
- infinite products
- inscribed polygon
- interior point
- limits
- maxima and minima
- rigidity
- sum of segments
• Right triangles
- altitudes
- circular arcs
- erected figures
- incircle
- interior points
- length of sides
- perimeter
- perpendiculars
- rectangles
- similar triangles
- square on hypotenuse
• Rolling
• Rusty compass
• Semicircles
• Similarity
- cevians
- directly similar
- triangles
• Squares
- areas
- circles
- determination of angles
- inscribed in triangle
- interior line segments
- interior point
- lengths
- paths
- right triangles
• Sylvester's Theorem
• Tessellations
- Chinese checkerboard
- equilateral triangles
- hexagons
- rectangles
- squares
• Tiling
• Trapezoids
- areas
- cyclic
- harmonic range
- sides
• Triangle inequalities
- altitudes
- altitudes and medians
- angle bisectors
- angle bisectors and medians
- angle bisectors extended
- angles
- angles and sides
- Brocard angle
- interior points
- medians and sides
- medians extended
- point in space
- sides
- sides and area
- two triangles
• Triangles
- 120 degree angle
- altitudes
- angle bisectors
- area
- Brocard angles
- centers
- centroids
- cevial triangles
- cevians
- circles
- circumcircles
- equal areas
- erected figures
- excircles
- incenter
- inscribed circles
- inscribed squares
- inscribed triangle
- interior point
- isosceles triangles
- length
- limits
- medial triangle
- medians
- orthocenter
- relations among parts
- special types
- symmedians
- transformations
• Vectors
• Higher Algebra
• Binary operations
- number theory
- polynomials over fields
• Fields
• Galois theory
• Groups
- affine motion
- alternating and symmetric groups
- alternating group
- center by finite groups
- character theory
- commutativity conditions
- complex numbers
- finite groups
- groups of isometries
- homomorphisms
- isomorphisms
- normal subgroups
- permutation groups
- sets
- simple non-abelian groups
- subgroups
- triangles
• Lattices
• Rings
- associative ring
- commutative rings
- division rings
- divisors of zero
- endomorphisms
- equations
- group of units
- ideals
- lattices
- linear algebra
- modules over commutative rings
- partial ordering
- R-modules
- squares
• Semigroups
• Linear Algebra
• Determinants
- limits
- maxima and minima
- partitioned matrices
- singular
- submatrices
• Eigenvalues
- commuting matrices
- complex numbers
- Gram matrix
- Hermitian matrices
- pairs of matrices
- polynomials
- real tri-diagonal matrices
• Eigenvectors
• Gram-Schmidt process
• Hilbert spaces
• Linear transformations
• Maps
• Matrices
- 0-1 matrices
- column vectors
- Hermitian
- inequalities
- inverses
- orthogonal
- Perron roots
- positive definite
- positive semidefinite
- reflection
- skew symmetric
- stochastic matrices
- submatrices
- symmetric
- triangular
- Vandermonde
• Matrix equations
• Matrix sequences
• Minimal polynomials
• Normed spaces
• Permanents
• Rank
- matrices
- nonsingular matrix
• Trace
• Vector spaces
• Number Theory
• Abundant numbers
• Algebraic number theory
• Algorithms
• Amicable numbers
• Arithmetic operations
• Arithmetic progressions
- 1983
- cubes
- powers
- primes
- squares
- sum of squares
- ternary representation
- triangular numbers
• Arrays
- 3 by 3
- cubical array
- divisibility
- finite sums
- hexagons
- infinite arrays
- multiples
- n by n
- nine non-zero digits
- numbers in an array
- pandigital numbers
- pentagons
- primes
- relatively prime integers
- sum of products
- sum of series
• Base systems
- base 2
- digit reversals
- divisibility
- factorials
- hexagonal numbers
- logic
- maxima and minima
- negative base systems
- palindromes
- parity
- permutations
- primes
- repdigits
- squares
- terminal digits
• Beatty's Theorem
• Bernoulli numbers
• Binomial coefficients
- analysis
- combinatorics
- congruences
- consecutive
- divisibility
- finite sums
- inequalites
- odd and even
- powers
- primes
- remainders
• Collatz problem
- insomniac numbers
- sequences
• Composite numbers
• Congruences
- binomial coefficients
- coprime integers
- divisors
- Euler numbers
- exponential
- Fermat
- primes
- recurrences
- triangular numbers
• Continued fractions
• Cubes
• Decimal representation
- approximations
- automorphic numbers
- digit problems
- digit sums
- period
- periods
- recursion equations
- sequences of squares
• Dedekind's function
• Deficient numbers
• Dense sets
• Difference equations
- congruences
- exponentials
- Fibonacci numbers
- nth differences
- second order
• Digit problems
- base conversion
- cancelled digits
- consecutive digits
- cubes
- cyclic shift
- cyclically consecutive
- deleted digit
- distinct digits
- divisibility
- inequalities
- interchanged digits
- juxtapositions
- maxima and minima
- missing digits
- multiples
- multiplicative digital root
- numerical evaluation
- partitions
- permutations
- powers
- primes
- product of consecutive integers
- pronic numbers
- reversals
- squares
- sum of cubes of digits
- sum of digits
- sum of squares of digits
- terminal digits
• Diophantine equations
- degree 11
- degree 2
- degree 3
- degree 4
- degree 5
- degree 8
- exponential equations
- factorials
- Fermat's Problem
- Fibonacci numbers
- linear equations
- primes
- solution in primes
- solution in rationals
- systems of equations
• Diophantine representation
• Divisibility
- binomials
- consecutive divisors
- consecutive integers
- exponentials
- factorials
- finite products
- finite sums
- infinite sums
- polynomials
- primes
- remainders
• Divisors
- 1981
- finite sums
- number of divisors
- powers of 2
- product of divisors
• Equations
• Euler totient
- composite numbers
- congruences
- Dirichlet set
- divisibility
- finite series
- finite sums
- inequalities
- limits
- modulo arithmetic
- primes
- series
- summation
• Factorials
- factorization
- fractions
- inequalities
- pandigital numbers
- prime factorization
- squares
- summation of series
- terminal digits
- terminal zeroes
• Farey sequences
• Fermat numbers
• Fibonacci and Lucas numbers
- arithmetic means
- congruences
- divisibility
- finite sums
- forms
- geometry
- identities
- probability
- progressions
• Fibonacci numbers
- congruences
- covering problems
- factors
- finite sums
- forms
- geometry
- greatest common divisor
- identities
- infinite products
- infinite sums
- properties
• Floor function
- absolute values
- cube roots
- Euler totient
- finite sums
- forms of numbers
- golden ratio
- identities
- number of solutions
- odd and even
- sequences
- square roots
- summation
• Forms of numbers
- Boneh numbers
- congruences
- difference of two squares
- exponentials
- finite series
- primes
- rational numbers
- squares
• Fractional parts
- exponential equations
- powers
- primes
- sqrt 5
• Gaussian sums
• Generating functions
• Geometry
- area
- chessboards
- dissection
- divisibility
- hexagons
- integral distances
- Plutarch
- pyramids
- rectangles
- rectangular parallelepipeds
- right triangles
- semicircles
- squares
- tetrahedra
- triangles
• Goldbach's conjecture
• Greatest common divisor
• Harmonic series
• Heronian triangles
• Higher order recurrences
• Inequalities
- absolute value
- divisibility
- exponential
- fractional negative exponents
- multiples
- products
- rational expressions
- sum of series
• Integer-valued polynomials
• Least common multiple
- committees
- series
• Legendre symbol
- finite sums
- primes
• Lucas numbers
- congruences
- divisibility
- divisibility properties
- forms
- geometry
- identities
- polynomial divisibility
- right triangles
- ring of integers modulo n
- trigonometry
• Maxima and minima
- distances
- divisibility
- partitions
- powers
- products
- sum of two squares
• Mersenne numbers
• Modular arithmetic
- factorials
- infinite sums
- iterated exponentials
- Legendre symbol
- odd integers
- sum of series
• Moebius function
• Monotone functions
• Multiplicative functions
• Normal numbers
• Number representations
- cubes
- powers of 2
- sum of fourth powers
• Palindromes
- base systems
- concatenation of squares
- infinite sums
- pandigital numbers
- prime factors
- primes
- products
- squares
• Pandigital numbers
- divisibility
- maxima and minima
- multiples
- palindromes
- persistent numbers
- power of prime
- powers
- primes
- square and cube roots starting pandigitally
- square roots
- squares
• Partitions
- inequalities
- maxima and minima
- maximum product
- partitions of 12
- perfect partitions
- sum of elements
• Pascal's triangle
• Pell numbers
• Perfect numbers
• Permutations
- matrices
- maxima and minima
- multipliers
- power loops
- products
• Polygonal numbers
- binomial coefficients
- hexagons
- nonagonal numbers
- tetrahedral numbers
• Polynomial congruences
• Polynomials
- 5th degree
- binomial coefficients
- complex numbers
- Diophantine equations
- divisibility
- exponential
- Galois theory
- primes
- rational functions
- second degree
- set theory
- theory of equations
• Powerful numbers
• Powers
- binomial coefficients
- rational exponents
- roots
- squares
- temperature scales
• Powers of 2
• Primes
- analytic number theory
- arithmetic progressions
- determinants
- digit reversals
- digits in descending order
- divisibility
- forms of numbers
- gaps
- inequalities
- intervals
- partitions
- polynomials
- powers
- prime circles
- product of primes
- sequences
- sum of primes
• Primitive roots
• Pronic numbers
• Pythagorean triples
- angles
- area
- digit reversals
- divisibility
- generators
- given hypotenuse
- given perimeter
- given side
- hypotenuse
- maxima and minima
- pandigital numbers
- perimeters
- product of sides
• Rational expressions
- divisibility
- exponents
- finite products
- finite sums
- inequalities
- real number line
• Recurrences
- determinants
- divisibility
- Fibonacci and Lucas numbers
- Fibonacci numbers
- generalized Fibonacci sequence
- higher order linear recurrences
- inequalities
- Lucas numbers
- maxima and minima
- number representations
- Pell equation
- perfect numbers
- second order linear
• Repdigits
• Repunits
- algorithms
- composite numbers
- Mersenne primes
- squares
- twin primes
• Schnirelmann density
• Sequences
- density
- finite sequences
- harmonic mean
- law of formation
- maxima and minima
- monotone sequences
- sequences of digits
• Series
- binomial coefficients
- congruences
- digit problems
- factorials
- finite series
- fractions
- inequalities
- powers
- primes
• Sets
- arithmetic mean
- divisibility
- geometric means
- powers of 2
- primes
- sum of elements
• Sets with same sum
- odd numbers
- polynomials
- sets with same product
- squares
• Squares
- difference of two squares
- divisibility
- juxtaposition
- powers of 2
- Pythagorean triples
- sequences
- sum of digits
- sum of squares
• Sum of divisors
- numerical functions
- prime factors
- primes
• Sum of powers
• Sum of squares
- 1984
- consecutive squares
- divisibility
- identical digits
- polynomials
- primes
- squares
• Sum of two squares
• Systems of congruences
• Triangles
- altitudes
- area
- areas
- ciarcles
- cot
- numbers on vertices
- obtuse triangles
- right triangles
• Triangular numbers
- base 9
- digit problems
- finite sums
- primes
- squares
• Twin primes
• Unit fractions
- density
- prime divisors
- primes
• Word problems
- age problems
- balance scale
- hunters
- multiples
• Probability
• Broken rods
• Bus routes
• Cards
- poker
• Chess tournaments
• Chessboard problems
• Coin tossing
- expectation
- jury decisions
• Continuous probability
• Derangements
• Dice problems
- expected value
- polyhedral dice
• Digit problems
• Discrete probability
- bandits
- committees
- drawers
- elections
- flags
- Hamming codes
- horse racing
- independent trials
- jumping
- lattice points
- pies
- rounding
- switches
- wives
- word problems
• Distributions
• Duels
• Expected value
- coin tossing
- maxima and minima
- ordered partitions
- random variables
- sequences of random variables
- socks
- timers
- urns
• Game theory
- archery
- tennis
- tournaments
• Geometry
- circles
- continuous probability
- cubes
- equilateral triangular prisms
- golf
- points in circle
- points on a line
- points on sphere
- triangles
• Inequalities
• Money problems
• Number theory
• Poisson distribution
• Prisoners
• Random variables
• Repeated trials
• Searching
• Seating of couples
• Sports
- baseball
- tennis
• Theory of equations
• Urns
- limits
- marbles
• Walks
• Warfare
• Recreational Mathematics
• Anagrams
• Block puzzles
• Chess problems
- created pieces
- minimal moves to reach position
- nonstandard playing conditions
- probability
- square control
• Chess tours
- area
- bishop's tour
- black king tour
- closed archer's tour
- knight's circuit
- knight's tour
- rooks tour
- x-tour
• Chessboard problems
- coloring problems
- coloring squares
- deletion of squares
- numbering of squares
• Connecting dots
• Crossnumber puzzles
• Diagramless puzzles
• Fair division
• Game theory
- chossing numbers
- maxima and minima
- number theory
- probability
• Games
- backgammon
- billiards
- bridge
- Monopoly
- Nim
- one to three
- peg-solitaire
- Snakes and Pits
- surround
- tic-tac-toe
- tower of Hanoi
- Yashima
- Yellow Pigs
• Logic puzzles
- Caliban problems
- incomplete information
- liars and truthtellers
- missionaries
- relationships
- secret messages
- truth statements
• Magic configurations
- antimagic squares
- gnomon magic squares
- magic cubes
- magic hexagons
- magic octagons
- magic squares
- magic stars
- toruses
• Polyominoes
- checkerboards
- octominoes
- pentominoes
- rectangles
• Solitaire games
• Tangram puzzles
• Tiling
- covering problems
- geometry
- heptominoes
- hexominoes
- pentominoes
• Set Theory
• Axiomatic set theory
• Cantor set
• Intervals
• Mappings
• Posets
• Power set
• Subsets
- countable sets
- intersection properties
- symmetric difference
• Solid Geometry
• Analytic geometry
- ellipsoids
- locus
- parametric curves
- regions
- spheres
- system of inequalities
- tetrahedron
• Constructions
• Cubes
- angle measures
- coloring problems
- diagonals
- partitioning of vertices
- partitions
- rectangular solids
- spherical geometry
- volume
• Cylinders
• Dissection problems
• Hyperboloids
• Locus
- planes
- pyramids
- tetrahedra
• Maxima and minima
• Paper folding
• Paraboloids
• Pentahedra
• Prisms
• Pyramids
• Rectangular parallelepipeds
• Regular tetrahedra
- integer distances
- isoperimetric inequalities
- maxima and minima
- perpendicular distances
- reflections
- regular bodies
• Right circular cones
- ellipses
- maxima and minima
- plane sections
- surface area
• Skew polyhedra
• Solid angles
• Space curves
• Spheres
- analytic geometry
- area
- boxes
- inscribed regular solids
- interior points
- tangent spheres
- tangents
• Spherical geometry
- paths on Earth
- spherical triangles
• Tetrahedra
- altitudes
- area of faces
- caltrops
- centroids
- co-spherical
- even number of points
- inscribed spheres
- planes
- solid angles
- volumes
• Tetrahelix
• Torus
• Statistics
• Average deviation
• Bernoulli trials
• Means
• Variance
• Symbolic Logic
• Predicate calculus
• Topology
• Connected components
• Connectivity
• Density criteria
• Hilbert space
• Homeomorphisms
• Metric spaces
• Product spaces
• Second countability
• Subspaces
• T1 spaces
• Trigonometry
• Approximations
• Determinants
• Elimination
• Finite products
• Finite sums
- cos
- csc
- csc and cot
- infinite sums
- sec
- sin
- sin and cos
- tan
• Fourier series
• Identities
- arcsin
- cot
- finite products
- sin
- system
- systems of equations
- two variables
• Inequalities
- 2 variables
- absolute value
- cos
- degree 4
- finite sums
- sin
- tan
- tanh
• Infinite sums
• Maxima and minima
• Numerical evaluation
- sin
- tan
• Numerical identities
• Rational values
• Solution of equations
- cos
- exact value
- exponentials
- inverse functions
- powers
- sin and cos
- tan
- transcendental equations
• Solution of inequalities
• Solution of triangles
• Theory of equations
• Triangles
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